The central axis line of a well or a a wellbore or a pipeline with a position vector
at each point
of of trajectory given as:
LaTeX Math Block |
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{\bf r} = {\bf r}(l) |
where
...
= \{ x(l), \, y(l), \, z(l) \} |
where
space coordinates -ccordinate facing down to the Earth Centre{\bf r}_0 | intake pipeline coordinates \ x_s = 0, \, y_s = 0, \, z_s = 0 \}pipeline length from inflow point l = \int_0^l \sqrt{dx^2 + dy^2 + dz^2} = \int_0^l \sqrt{\dot x^2 + \dot y^2 + \dot z^2} dl | | well or pipeline intake point coordinates (usually |
\{ --uriencoded--%7B\bf r%7D_0 = \%7B x_ |
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s s s }
In practice the trajectory is usually set by Deviation Data.
See also
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Natural Science / Physics / Measuring / Positioning
[ Deviation Data ] [ Inclination ] [ Azimuth ]